Numerical simulation of roll waves in pipelines using the two-fluid model

B. Sanderse, S. Misra, S. Dubinkina, R. A.W.M. Henkes, C. W. Oosterlee

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

4 Citations (Scopus)

Abstract

A finite volume discretization of the incompressible two-fluid model in four-equation form is proposed for simulating roll waves appearing in multiphase pipelines. The new formulation has two important advantages compared to existing roll wave simulators: (i) it is conservative by construction, meaning that the correct shock magnitude is obtained at the hydraulic jump, and (ii) it can be more easily extended with additional physics (e.g. Compressibility, axial diffusion, surface tension), without rederiving the model equations. A simple, robust, first-order upwind discretization of the four-equation model is able to capture the roll wave profiles, although a fine grid is needed to achieve converged results. The four-equation model leads to new roll wave solutions that differ from existing analytical and numerical results. Our solutions are believed to be physically more correct because the shock relations satisfy physically conserved quantities.

Original languageEnglish
Title of host publicationProceedings 11th North American Conference on Multiphase Technology
PublisherBHR Group
Pages373-386
Publication statusPublished - 2018
Event11th North American Conference on Multiphase Technology - Banff, Canada
Duration: 6 Jun 20188 Jun 2018

Conference

Conference11th North American Conference on Multiphase Technology
CountryCanada
CityBanff
Period6/06/188/06/18

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